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Finding the Fourth Proportional to 202.86, 279.88 and 129.11

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Solution

The fourth proportional to 202.86, 279.88 and 129.11 is: 178.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.86 : 279.88 = 129.11 : x
  2. Step 2: Convert to fraction form
    202.86/279.88 = 129.11/x
  3. Step 3: Cross multiply
    202.86x = 279.88 × 129.11
  4. Step 4: Simplify right side
    202.86x = 36,133.58
  5. Step 5: Solve for x
    x = 36,133.58/202.86
  6. Step 6: Final answer
    x = 178.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.